Table 4.
Block decomposition method (BDM) algorithmic complexity estimation, BDM logical depth estimation, Shannon entropy, second-order entropy, LZ complexity. The measures are estimated using The Online Algorithmic Complexity Calculator (https://complexitycalculator.com/index.html) block size 12, alphabet size 256. Spike trains are extracted with (a) θ = a and (b) θ = 2 · a, where a is an average interval between two consequent spikes, see table 1. We also provide values of the LZ complexity and algorithmic complexity normalized by input string lengths. In table (c), we provide data on the strings of train powers (in number of spikes) calculated with θ = a and then filtered so values over 9 are removed and the complexity is estimated in alphabet of nine symbols.
C. militaris | F. velutipes | S. commune | O. nidiformis | |
---|---|---|---|---|
(a) | ||||
algorithmic complexity, bits | 1211 | 1052 | 981 | 1243 |
algorithmic complexity normalized | 6.51 | 3.94 | 7.55 | 3.67 |
logical depth, steps | 4321 | 4957 | 3702 | 5425 |
logical depth normalized | 23 | 19 | 28 | 16 |
Shannon entropy, bits | 2.4 | 2.3 | 2.3 | 2.3 |
second-order entropy, bits | 3.8 | 3.7 | 3.7 | 3.7 |
LZ complexity, bits | 1153 | 1495 | 910 | 1763 |
LZ complexity (normalized), bits | 6.2 | 5.6 | 7 | 5.2 |
input string length | 186 | 267 | 130 | 339 |
C. militaris | F. velutipes | S. commune | O. nidiformis | |
---|---|---|---|---|
(b) | ||||
algorithmic complexity, bits | 1047 | 1295 | 980 | 1393 |
algorithmic complexity normalized | 10.57 | 10.04 | 14.4 | 8.82 |
logical depth, steps | 2860 | 4147 | 3046 | 4731 |
logical depth normalized | 29 | 32 | 45 | 30 |
Shannon entropy, bits | 2.5 | 2.5 | 2.5 | 2.6 |
second-order entropy, bits | 4 | 4.2 | 4.2 | 4.3 |
LZ complexity, bits | 594 | 993 | 666 | 1232 |
LZ complexity normalized | 6 | 7.7 | 9.8 | 7.8 |
input string length | 99 | 129 | 68 | 158 |
C. militaris | F. velutipes | S. commune | O. nidiformis | |
---|---|---|---|---|
(c) | ||||
algorithmic complexity, bits | 679 | 976 | 466 | 1276 |
algorithmic complexity normalized | 3.96 | 3.97 | 4.05 | 4 |
Shannon entropy, bits | 2.5 | 2.6 | 2.5 | 2.5 |
second-order entropy, bits | 4.7 | 5 | 4.5 | 4.9 |
LZ complexity, bits | 735 | 1009 | 563 | 1208 |
LZ complexity normalized | 4.3 | 4.1 | 4.9 | 3.8 |
input string length | 171 | 246 | 115 | 319 |